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Finding the Fourth Proportional to 100,716.96, 138,989.52 and 56,004

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Solution

The fourth proportional to 100,716.96, 138,989.52 and 56,004 is: 77,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,716.96 : 138,989.52 = 56,004 : x
  2. Step 2: Convert to fraction form
    100,716.96/138,989.52 = 56,004/x
  3. Step 3: Cross multiply
    100,716.96x = 138,989.52 × 56,004
  4. Step 4: Simplify right side
    100,716.96x = 7,783,969,078.08
  5. Step 5: Solve for x
    x = 7,783,969,078.08/100,716.96
  6. Step 6: Final answer
    x = 77,285.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.